How do multiply mixed numbers and fractions

you have to make the mixed # to an improper fraction and then when you have to fractions you just multiply across and then simplify

To multiply mixed numbers and fractions, you can follow these steps:

Step 1: Convert the mixed numbers into improper fractions.
- To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, and add that to the numerator. Place the result over the original denominator.

Step 2: Multiply the fractions.
- To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.

Step 3: Simplify the resulting fraction, if necessary.
- If the resulting fraction can be simplified, divide both the numerator and denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.

Step 4: Convert the result back to a mixed number, if desired.
- To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator. Write this as a mixed number.

Example:
Let's multiply 2 1/3 by 3/4.

Step 1: Convert the mixed number to an improper fraction.
- 2 1/3 = (2 × 3 + 1) / 3 = 7 / 3

Step 2: Multiply the fractions.
- (7 / 3) × (3 / 4) = (7 × 3) / (3 × 4) = 21 / 12

Step 3: Simplify the resulting fraction, if necessary.
- The fraction 21/12 can be simplified by dividing both the numerator and denominator by their GCD, which is 3.
- 21 / 12 = (21 ÷ 3) / (12 ÷ 3) = 7 / 4

Step 4: Convert the result back to a mixed number, if desired.
- 7/4 can be written as 1 3/4.

Therefore, 2 1/3 multiplied by 3/4 equals 1 3/4.

Check this site.

http://www.mathsisfun.com/mixed-fractions-multiply.html